The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  4  1  2  1  1
 0  2  0  6  4 14 12  2  4  6  8 10  0  6  4  2  0  6 12 10  8 14  4  2  8 14  4  2  4  2  8 14  0  6  0  6  4  2 12 10  0  6  0  6  4  2  4  2 12 10 12 10 12 10  4  2  0  8  6 14  8 14  0  6  0  8  8  0  6 14 14  6  8  8  6 14  6  8  8  2 10 10  4 12 12 10  6 12  8
 0  0 12  0  4  4  0  4 12  0  4  0  0 12  0 12  8  8  8  8  4  4 12 12  8  8  8  8  4  4 12 12  0  0 12 12  4 12  8  0  0  0 12 12 12  4  8  0 12  8  0  4  4 12  0  8  8  4  8  4  8  8  4  4  8  8  4  4  8  8  4  4  0 12  8  8  4  0 12  4 12  4  8  0  8  4  0  4  4
 0  0  0  8  0  0  8  8  8  8  8  0  8  0  0  8  8  8  8  0  0  0  0  8  0  8  0  0  8  8  8  0  0  0  0  8  8  0  8  8  8  0  8  8  0  0  0  8  8  8  0  0  0  0  8  8  8  0  0  8  0  0  8  8  0  8  8  0  8  0  8  0  0  0  0  8  8  0  0  0  0  8  8  0  0  8  0  8  0
 0  0  0  0  8  0  0  0  0  8  8  8  8  8  8  8  8  0  0  8  0  8  8  0  0  8  8  0  0  8  8  0  8  0  8  0  8  0  8  0  0  8  0  8  0  8  0  8  8  8  0  0  0  8  8  0  0  8  8  0  8  0  0  8  8  8  0  0  8  8  8  8  8  0  0  0  0  0  8  0  0  8  0  8  8  0  8  0  0

generates a code of length 89 over Z16 who´s minimum homogenous weight is 84.

Homogenous weight enumerator: w(x)=1x^0+67x^84+48x^85+117x^86+160x^87+273x^88+744x^89+245x^90+152x^91+133x^92+40x^93+50x^94+8x^95+6x^96+3x^98+1x^174

The gray image is a code over GF(2) with n=712, k=11 and d=336.
This code was found by Heurico 1.16 in 1.02 seconds.